Question

Hello, I need help showing work and solving this. Thank you!

Answer 1

The distance between two points A(x1,y1) and B(x2,y2) is given by:

`d(A,B)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

In this case we have the poitns Q(1,-1) and N(9,-8), then:

`\begin{gathered} d(Q,N)=\sqrt[]{(9-1)^2+(-8-(-1))^2} \\ =\sqrt[]{(8)^2+(-7)^2} \\ =\sqrt[]{64+49} \\ =\sqrt[]{113} \end{gathered}`

Therefore, the distance between Q and N is:

`d(Q,N)=\sqrt[]{113}`